#' p-value calculator for continous variables
#'
#' Calculate the p-value for continous variables.
#' The decision which test to use is equal to \code{\link{m.cont}}.
#' The p-value is calculated using one of the four tests:
#' Wilcoxon-Test, t-Test, Kruskal-Test, Anova.
#'
#' @param x
#' Vector of the continous variable.
#' @param group
#' Vector of the grouping variable.
#' @param paired
#' Logical. Is the categorial Variable paired?
#' @param is.ordered
#' Logical. Is the categorial Variable ordered?
#' @param nonparametric
#' Logical. Should the continuous variable tested by using non-parametric methods.
#' @param t.log
#' Logical. Should be used the log of the original data.
#' @param var.equal
#' Logical. Should variances be assumed to be equal when applying t-tests?
#' @param index
#' Optional. Label for the footnote.
#' The footnotes aren't produced in this function.
#' @param create
#' Which output document should be produced in the following step (one of "pdf", "tex", "knitr", or "word").
#'
#' @details
#' Wilcoxon Test: A nonparametric Test for a comparison of 2 dependent samples.
#' (see \code{\link{wilcox.test}}).
#' Mann-Whitney-U Test: A nonparametric Test for a comparison of 2 independent samples. (
#' see \code{\link{wilcox.test}}).
#' t-Test: A parametric Test for a comparison of 2 (in)dependent samples.
#' (see \code{\link{t.test}}).
#' Friedman-Test: A nonparametric Test for a comparison of more than 2 dependent samples.
#' (see \code{\link{friedman.test}}).
#' Anova Type III: A parametric Test for a comparison of more than 2 dependent samples.
#' (see \code{\link[car]{Anova}} with \code{}).
#' Kruskal-Wallis-Test: A nonparametric Test for a comparison of more than 2 independent samples.
#' (see \code{\link{kruskal.test}}).
#' Anova: A parametric Test for a comparison of more than 2 independent samples.
#' (see \code{\link{aov}}).
#'
#' @return
#' The p-value with index which test is ussed is returned.
#' author
#' Lorenz Uhlmann, Csilla van Lunteren
#'
#' @seealso
#' \link[nlme]{lme}\cr
#' \link[car]{Anova}\cr
#'
#' @examples
#' \dontrun{
#' p.cont(x=rnorm(100,0,1), group=rep(1:4,25))
#' }
#'
#' @import lme4
#' @import SparseM
#' @importFrom MatrixModels model.Matrix
#' @importFrom nlme lme
#' @importFrom car Anova
#'
p.cont <- function(x, group, paired = F, is.ordered = F, nonparametric = F,
t.log = F, var.equal = F, index = c(), create = "tex") {
group <- droplevels(group);
if (length(levels(group)) == 2) {
if (nonparametric) {
test.name <- "Wilcoxen"
tl <- stats::wilcox.test(x ~ group, paired = paired)
pv <- tl$p.value
test.value <- tl$statistic
} else {
if (t.log){
test.name <- "log-t-test"
x <- log(x)
}
test.name <- "t-test"
tl <- stats::t.test(x ~ group, paired = paired, var.equal = var.equal)
pv <- tl$p.value
test.value <- tl$statistic
}
} else {
if (paired) {
# Annahme: Beobachtungen stehen pro "Gruppe" jeweils in derselben Reihenfolge untereinander!
x.ind <- rep(1:(length(x) / length(levels(group))), length(levels(group)))
if (nonparametric) {
x.ind <- rep(1:(length(x) / length(levels(group))), length(levels(group)))
test.name <- "Friedman"
tl <- stats::friedman.test(x ~ group | x.ind)
pv <- tl$p.value
test.value <- tl$statistic
} else {
test.name <- "paired_lme_F-test(dont_really_know_what_happens_here)"
fit <- nlme::lme(x ~ group, random = ~ 1 | x.ind)
# pv <- car::Anova(fit, type = "III")[2, 3]
tl <- nlme::anova.lme(fit)
pv <- tl$`p-value`[2]
test.value <- tl$`F-value`[2]
}
} else {
if (nonparametric) {
test.name <- "Kruskal"
tl <- stats::kruskal.test(x ~ group)
pv <- tl$p.value
test.value <- tl$statistic
} else {
test.name <- "F-test"
tl <- summary(stats::aov(x ~ group))[[1]]
pv <- tl$`Pr(>F)`[1]
test.value <- tl$`F value`[1]
}
}
}
pform <- formatr(pv, 3, cl.z = T)
if (!is.null(index)) {
if (create == "word" | create == "R" | create=="archive") {
pform <- paste(pform, index, sep = "")
} else {
if (grepl("<", pform)) {
pform <- paste("\\textless", gsub("<", "", pform), "$^", index, "$", sep = "")
}
else {
pform <- paste(pform, "$^", index, "$", sep = "")
}
}
}
else{
if (create == "word" | create == "R" | create== "archive") {
pform <- paste(pform)
} else {
if (grepl("<", pform)) {
pform <- paste("\\textless", gsub("<", "", pform), sep = "")
}
else {
pform <- paste(pform, sep = "")
}
}
}
list(pv.formatted = pform, p.value = pv, test.value = test.value, test.name = test.name)
}
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